2. a
3. a
4. b
5. c
6. b
7. b
8. b
9. a
10. c
hope this helps
Answer:
the slope of the line is , and the y-intercept occurs at y = -6 (0, -6) on the plane
Step-by-step explanation:
In order to find the slope and y-intercept, we need to solve for y in the equation, and look at the coefficient accompanying the term in "x" (the slope), and at the pure numerical term (y-intercept):
Therefore the slope of the line is , and the y-intercept occurs at y = -6 (0, -6) on the plane
Answer:
360°
Step-by-step explanation:
We need only remember that the sum of the measures of the interior angles of a triangle is 180°. Angle c and 112° form a pair of "straight angles," so they add up to 180°; as a consequence, Angle c = 180° - 112°, or 68°.
With two of the interior angles now known, we can calculate the third, Angle A: It is 180° less (51° + 68°), or 180° - 119°, or 61°.
That means that the measure of Angle B is 180° - 61° = 119°
Looking at the pair C and 112°, we identify the exterior angle as 112°.
Looking at the pair A and B, or 61° and 119°, we identify the exterior angle as 119°.
Finally, looking at the pair 51° and (180° - 51°), or
51° and 129°, we identify the exterior angle as 129°.
Then the sum of the exterior angles 129° and 119° and 112° is 360°.
4.29*1015=4354.35
1.77*10^-4= 0.000177
first * second = 0.77071995 with your own sig figs
Answer:
320π
Step-by-step explanation:
The volume of a cylinder is πr²h, so we need to find r. Given the circumference, we know that r is 8 since the circumference is 2πr. This means that 16 is 2r, and r is 8. We can then plug r into the volume equation since we already know the height of the cylinder. We then get 64 × 5 × π. This means the volume of the cylinder is 320pi.